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Finding the Fourth Proportional to 31,408.37, 47,112.18 and 9,220.95

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Solution

The fourth proportional to 31,408.37, 47,112.18 and 9,220.95 is: 13,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.37 : 47,112.18 = 9,220.95 : x
  2. Step 2: Convert to fraction form
    31,408.37/47,112.18 = 9,220.95/x
  3. Step 3: Cross multiply
    31,408.37x = 47,112.18 × 9,220.95
  4. Step 4: Simplify right side
    31,408.37x = 434,419,056.17
  5. Step 5: Solve for x
    x = 434,419,056.17/31,408.37
  6. Step 6: Final answer
    x = 13,831.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.